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Corresponding angles

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The word angle is a concept of the area of geometry that is used to refer to the space comprised between the intersection of two lines which start from the same point or vertex, and which is measured in degrees . In other words, we could say that an angle is the opening that exists between two lines or segments. There are many types of angles, including corresponding angles . In all geometric figures where there are lines, there will also be anglesThey can be related in terms of their dimensions and their position within the plane. The Corresponding Angles Postulate explains that when two parallel lines are cut by a transverse line , the resulting corresponding angles are congruent .

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What are corresponding angles?

The corresponding angles are two angles that, in two lines that have been cut by a transversal , are on the same side of the transversal but one of them is internal and the other external to the two lines.

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  • Definition
  • features
  • Corresponding angles between parallels
  • How much
  • Examples of corresponding angles

Definition

The corresponding angles are those that are located on the same side of the place where the secant is located . One of them is located in the inner region and the other is located in the outer region . They are angles that do not have a vertex in common. The corresponding angles are those found on the same side where the parallels meet and on the same side where the transversal is.

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features

The main characteristics of the corresponding angles are the following:

  • In the corresponding angles, one is internal and the other is external to the two lines.
  • The two lines that intersect to give origin to the corresponding angles are parallel if and only if the corresponding angles are congruent or equal.
  • They are located on the same side that the parallels are located.
  • They are angles that arise when there are parallel lines.
  • The corresponding angles have their vertices
  • This type of angle cannot be adjacent .

Corresponding angles between parallels

When we have two lines that intersect, we then say that those two lines are secant . At the moment in which they are cut, they can form or determine 4 different angles. But those angles meet or are related to each other, so if we knew how much any one of those angles is, we could then immediately determine the other three.

When two parallel lines are cut by another parallel line as well, which on this occasion we will know as the transverse line , 8 different angles are formed. These eight angles are also closely related to each other, so that when we get to know one of them we can find out what the others are worth.

The relative position that the angles have with respect to the lines causes those angles to have specific names in order to make a difference between them. It is for this reason that we call by the name of angles corresponding to those that are located on the same side of the parallels and on the same side also on the same side as the transversal line .

How much

When we refer to the measures that the corresponding angles have, we can say that the corresponding angles are angles that have their measures exactly the same , that is, the angles that are within this category will always measure the same. It is for this reason that when we can find and know the measure of an angle at an intersection , we can also know the measure of its corresponding angle at the second intersection, since it will be exactly the same.

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